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Scale 3539

Scale 3539, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,4,6,7,8,10,11}
Forte Number8-Z29
Rotational Symmetrynone
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 751
enantiomorph: 2423
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 3539 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3817
Scale 3817, Ian Ring Music Theory
3rd mode:
Scale 989
Scale 989, Ian Ring Music Theory
4th mode:
Scale 1271
Scale 1271, Ian Ring Music Theory
5th mode:
Scale 2683
Scale 2683, Ian Ring Music Theory
6th mode:
Scale 3389
Scale 3389, Ian Ring Music Theory
7th mode:
Scale 1871
Scale 1871, Ian Ring Music Theory
8th mode:
Scale 2983
Scale 2983, Ian Ring Music Theory


The prime form of this scale is Scale 751

Scale 751Scale 751, Ian Ring Music Theory


The octatonic modal family [3539, 3817, 989, 1271, 2683, 3389, 1871, 2983] is the negative of the tetratonic modal family [139, 353, 1553, 2117]


The inverse of a scale is a reflection using the root as its axis. The inverse of 3539 is 2423

Scale 2423Scale 2423, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3539 is chiral, and its enantiomorph is scale 2423

Scale 2423Scale 2423, Ian Ring Music Theory

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3537Scale 3537, Ian Ring Music Theory
Scale 3541Scale 3541, Ian Ring Music Theory
Scale 3543Scale 3543, Ian Ring Music Theory
Scale 3547Scale 3547, Ian Ring Music Theory
Scale 3523Scale 3523, Ian Ring Music Theory
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 3555Scale 3555, Ian Ring Music Theory
Scale 3571Scale 3571, Ian Ring Music Theory
Scale 3475Scale 3475, Ian Ring Music Theory
Scale 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
Scale 3283Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
Scale 3795Scale 3795, Ian Ring Music Theory
Scale 4051Scale 4051, Ian Ring Music Theory
Scale 2515Scale 2515: Chromatic Hypolydian, Ian Ring Music TheoryChromatic Hypolydian
Scale 3027Scale 3027, Ian Ring Music Theory
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js